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natulia [17]
2 years ago
12

Point g is located at (3,6) on the coordinate plane. Point G is reflected over the x-axis to create point G'. Point G' is then r

eflected over the y-axis to create point G''. What ordered pair describes the location of G''.
Mathematics
1 answer:
dmitriy555 [2]2 years ago
6 0

-Answer:

(-3. -6)

Step-by-step explanation:

G (3,6)

x axis reflect

G' (3, -6)

y axis reflect

G'' (-3. -6)

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Step-by-step explanation:

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Multiply the equation (ii) by (-1) and then add.

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Answer:

The length of the ladder is 7.21 feet

Step-by-step explanation:

Let

y = Height of the wall

x = Distance between the wall and the ladder (bottom)

L = Length of the ladder

So, the given parameters are:

\frac{dy}{dt} = -2ft/s

When x = 4; \frac{dx}{dt} = 3ft/s

The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:

L^2 = x^2 + y^2

Differentiate with respect to time

2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}

The length of the ladder does not change with time. So:

2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}

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Rewrite as:

2x\frac{dx}{dt} =- 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} =- y\frac{dy}{dt}

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L^2 =52

L = \sqrt{52

L = 7.21ft

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